we know that
The exponential function is of the form
\(f(x)=a^{x}\)
where
a is any value greater than \(0\)
In General:
It is always greater than \(0\), and never crosses the x-axis
It always intersects the y-axis at \(y=1\)
Its Domain is the Real Numbers
Its Range is the Positive Real Numbers
Examples
Let
\(a=3\)
1) For \(x=2\)
\(f(2)=3^{2} \\ f(2)=9\)
2) For \(x=3\)
\(f(3)=3^{3} \\ f(3)=27\)
3) For \(x=4\)
\(f(4)=3^{4} \\ f(4)=81\)
4) For \(x=5\)
\(f(5)=3^{5} \\ f(5)=243\)
\(f(3)/f(2)=\frac{27}{9} \\ =3\)
\(f(4)/f(3)=\frac{81}{27} \\ =3\)
\(f(5)/f(4)=\frac{243}{81} \\ =3\)
therefore
the answer is the option
D.) exponential
